Problem Set Week 06

Before First Class

Pre-requisite skills.

Look over the following problems. Each represents a necessary skill for understanding linear programing. Make sure you are completely confident that you can do all of these before proceeding.

1. Plot the following points: (3,2), (5,5), (1,0), (0,3)

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2. Plot the equation $y = 2x + 1$.

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3. If a line passes through (2,3) and (5,4), write its equation in $y=mx+b$ form.

4. Plot the equation $2y - 4x = 2$.

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5. Plot the equation $y > 3$.

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6. Plot the equation $x \le 4$.

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7. Plot the equation $y > 2x + 1$.

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8. Consider the inequality $x \ge y - 4$. Rearrange it so that y is on the left and x on the right.

9. Shade the area containing points for which the following inequalities hold:
$y > 3$, $x \le 5$, $x \ge 2y - 3$.

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Before Second Class

Stokey and Zeckhauser problems in Excel.

  1. Incinerator
  2. Hospital Assignment
  3. Police
  4. Electricity and Pollution

Before Lab

In Class/Lab

Lab Problems